{"as_of":"2026-08-09T11:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:eac465455573c2aeb6b1e4af240c65a9d3fb8fff5ad3feaeaafd752e2d4276a9","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":1,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T13:58:34.003065Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-08T13:58:34.704025Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2105.07504","last_updated":"2021-05-16T19:49:44Z","snapshot_observed_at":"2026-07-06T11:09:54.571352Z","submitted_at":"2021-05-16T19:49:44Z","title":"Mean curvature flow in homology and foliations of hyperbolic $3$-manifolds","version":1},"cited_work":{"arxiv_id":"2105.07504","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07504","snapshot_observed_at":"2026-08-08T13:58:34.704025Z","title":"Mean curvature flow in homology and foliations of hyperbolic $3$-manifolds","venue":"math.DG","work_id":"ac97f13b-c00f-478b-988b-5b28bb22561a","year":2021},"citing_paper":{"arxiv_id":"2502.07098","last_updated":"2025-05-03T15:38:14Z","snapshot_observed_at":"2026-08-09T05:10:16.215825Z","submitted_at":"2025-02-10T22:43:05Z","title":"Infinitely Many Surfaces with Prescribed Mean Curvature in the Presence of a Strictly Stable Minimal Surface","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-08T13:58:34.003065Z"},"links":{"cited_paper":"/paper/2105.07504","citing_paper":"/paper/2502.07098"},"observation_digest":"sha256:9a9b74f3ba5de783f8fdb578ccb523e16d7f4b2e043fa837a45de60580f9b6f4","observation_id":"bb69e095-a787-4569-8579-674ddfe1cb2e","resolution":{"observed_at":"2026-08-08T13:58:34.709639Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2105.07504/citation-record","integrity":"/paper/2105.07504/integrity","json":"/paper/2105.07504/citation-record.json","paper":"/paper/2105.07504"},"outbound":[],"paper":{"arxiv_id":"2105.07504","last_updated":"2021-05-16T19:49:44Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-07-06T11:09:54.571352Z","submitted_at":"2021-05-16T19:49:44Z","title":"Mean curvature flow in homology and foliations of hyperbolic $3$-manifolds"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2105.07504."}